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68013468 = 22322965147
BaseRepresentation
bin1000000110111…
…00110110011100
311201222102221100
410003130312130
5114402412333
610425433100
71454050665
oct403346634
9151872840
1068013468
1135434586
121a93b790
1311124573
14906636c
155e87213
hex40dcd9c

68013468 has 36 divisors (see below), whose sum is σ = 177854040. Its totient is φ = 21889056.

The previous prime is 68013467. The next prime is 68013479. The reversal of 68013468 is 86431086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

68013468 is a modest number, since divided by 13468 gives 68 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68013467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31530 + ... + 33617.

It is an arithmetic number, because the mean of its divisors is an integer number (4940390).

Almost surely, 268013468 is an apocalyptic number.

It is an amenable number.

68013468 is an abundant number, since it is smaller than the sum of its proper divisors (109840572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68013468 is a wasteful number, since it uses less digits than its factorization.

68013468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65186 (or 65181 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68013468 is about 8247.0278282542. The cubic root of 68013468 is about 408.1924553398.

The spelling of 68013468 in words is "sixty-eight million, thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 65147 130294 195441 260588 390882 586323 781764 1172646 1889263 2345292 3778526 5667789 7557052 11335578 17003367 22671156 34006734 68013468